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Finding the Fourth Proportional to 314,230.68, 471,419.82 and 103,868.64

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Solution

The fourth proportional to 314,230.68, 471,419.82 and 103,868.64 is: 155,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,230.68 : 471,419.82 = 103,868.64 : x
  2. Step 2: Convert to fraction form
    314,230.68/471,419.82 = 103,868.64/x
  3. Step 3: Cross multiply
    314,230.68x = 471,419.82 × 103,868.64
  4. Step 4: Simplify right side
    314,230.68x = 48,965,735,572.44
  5. Step 5: Solve for x
    x = 48,965,735,572.44/314,230.68
  6. Step 6: Final answer
    x = 155,827.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.